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Finding the Third Proportional to 25,958 and 39,111

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Solution

The third proportional to 25,958 and 39,111 is: 58,928.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,958 : 39,111 = 39,111 : x
  2. Step 2: Convert to fraction form
    25,958/39,111 = 39,111/x
  3. Step 3: Cross multiply
    25,958x = 39,111 × 39,111
  4. Step 4: Simplify right side
    25,958x = 1,529,670,321
  5. Step 5: Solve for x
    x = 1,529,670,321/25,958
  6. Step 6: Final answer
    x = 58,928.67

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.